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DIA [1.3K]
3 years ago
6

(Q6) Decide if the function is an exponential function. If it is, state the initial value and the base. y= -4.8·4^x

Mathematics
1 answer:
topjm [15]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Exponential equation takes the form  y=a*b^x  where

  1. a is the initial value ( a ≠ 0), and
  2. b is the base ( b ≠ 1)

The equation given in the problem can be written as  y=-4.8*4^x, so it is <em>an exponential equation, </em>  where a = -4.8 and b = 4.

Thus we can say that the initial value = -4.8 and the base is 4

The correct answer is  D

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What fraction equals 48% in it’s simplest form
dmitriy555 [2]

Answer:

12/25

Step-by-step explanation:

48% is equal to 48/100

This can be simplified by dividing both the numerator and denominator by 4.

48/4=12

100/4=25

8 0
3 years ago
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Which of the following points is a solution to the system of linear inequalities?
ElenaW [278]
A is the correct answer




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3 0
3 years ago
6 ft.<br> 12 ft.<br> 8 ft.<br> The area of this irregular<br> figure is<br> -sq. ft.<br> 16 ft.
nikdorinn [45]

Answer:

When we know all 3 sides, we use Heron's Formula

area = sqrt [s *(s-a) * (s-b) * (s-c)]

where "s" is the semi-perimeter which in this case equals

s = (6 + 8 + 12) / 2   = 13

area = sqrt [13 * 5 * 7 * 1]

area = sqrt 455

area = 21.3307290077

area = 21.33 square feet (rounded)

Step-by-step explanation:

3 0
4 years ago
The formula a = 118e0.024t models the population of a particular city, in thousands, t years after 1998. when will the populatio
andriy [413]
Given that the population has been modeled by the formula:
a=118e^(0.024t), the time taken for the population to hit 140k will be given by:
140000=118e^(0.024t)
solving for t we shall have:
140000/118=e^(0.024t)
thus;
0.024t=ln(140000/118)
t=1/0.024*ln(140000/118)
t=295
thus the time the population will be 140000 will be:
1998+295
=2293
6 0
3 years ago
The population of a certain country is expected to double every 32 years. The population of this country was 4.2 million people
mojhsa [17]

Answer:

2.2%

Step-by-step explanation:

Given the following :

Population in year 2000 (A) = 4.2 million

Expected population every 32 years = 2 *A

The growth rate per year =?

The population figure after 32 years = (2 * 4.2 million) = 8.4 million

Using the exponential growth formula :

P(t) = A × (1 + r)^t

(1 + r) = g = Total growth percent

A = Initial population

t = time

P(t) = 8.4 million

8,400,000 = 4,200,000 × g^32

g^32 = (8400000/4200000)

g^32 = 2

Taking the root of 32 on both sides

g = 1.02189714865

g = (1 + r)

1.02189714865 = 1 + r

r = 1.02189714865 - 1

r = 0.02189714865

.rate = 0.02189714865 * 100

= 2.18971486541%

= 2.2% ( nearest tenth)

4 0
3 years ago
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